Compute the surface charge density on the belt

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Homework Help Overview

The discussion revolves around calculating the surface charge density on a moving charge belt, which is 50 cm wide and travels at a speed of 40 m/s, while carrying a current of 100 µA. Participants are exploring the relationship between current, charge density, and the geometry of the system.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss various equations related to current density and charge density, with attempts to relate current to charge passing through the belt. There are questions about the correctness of the units and the application of the equations.

Discussion Status

The discussion is active, with participants providing feedback on each other's reasoning. One participant expresses gratitude for the assistance received, indicating a potential breakthrough in understanding, though no consensus on the final answer has been reached.

Contextual Notes

There is a mention of needing to show work and equations used, suggesting that participants are expected to engage deeply with the problem rather than simply seeking answers. The original poster's inquiry about the correctness of a suggested answer indicates uncertainty in their approach.

Black-Mind
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I need the answer to this question

A charge belt, 50cm wide, travels at 40m/s between a source of charge and a charging object at a rate corresponding to 100microA . Compute the surface charge density on the belt

Some one told me the answer may be 5 microC/m2 but how ??
 
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You will need to put in some effort if you want help. For example, list some of the equations you have been trying and show some work.
 


I try this but i don't no if it is right
J=I/A=100*10^-9 /0.5*1
also J=(ne) V
then ne(q)=J/v
and then i take the q as the surface charge density
and it well = 5*10^-9
 


The units do not come out right at all in that last equation.

You know the current and that is just dq/dt. That is the same as saying dq charge passes by in a time dt. So draw a picture of how much charge passes by in a time dt, knowing the width of the belt and how fast it is moving.
 


Thanx Nickjer For your help I finally get it
 

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